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Finding the Fourth Proportional to 517,500, 776,250 and 143,523

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Solution

The fourth proportional to 517,500, 776,250 and 143,523 is: 215,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,500 : 776,250 = 143,523 : x
  2. Step 2: Convert to fraction form
    517,500/776,250 = 143,523/x
  3. Step 3: Cross multiply
    517,500x = 776,250 × 143,523
  4. Step 4: Simplify right side
    517,500x = 111,409,728,750
  5. Step 5: Solve for x
    x = 111,409,728,750/517,500
  6. Step 6: Final answer
    x = 215,284.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.